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Finding the Fourth Proportional to 176,384.80, 264,577.20 and 141,392.80

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Solution

The fourth proportional to 176,384.80, 264,577.20 and 141,392.80 is: 212,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384.80 : 264,577.20 = 141,392.80 : x
  2. Step 2: Convert to fraction form
    176,384.80/264,577.20 = 141,392.80/x
  3. Step 3: Cross multiply
    176,384.80x = 264,577.20 × 141,392.80
  4. Step 4: Simplify right side
    176,384.80x = 37,409,311,124.16
  5. Step 5: Solve for x
    x = 37,409,311,124.16/176,384.80
  6. Step 6: Final answer
    x = 212,089.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.